发表机构
Department of Mathematics, Sree Chaitanya College, Habra 743268, West Bengal, India（斯里·柴坦亚学院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究通过statefinder层级与分数增长参数联合诊断Viaggiu全息暗能量模型，利用复合零诊断区分动态暗能量与ΛCDM，并验证模型稳定性。
AI 中文摘要
我们利用statefinder层级以及分数增长参数来研究最近提出的无相互作用的Viaggiu全息暗能量（VHDE）模型，该模型以未来事件视界作为红外截断。通过调整VHDE模型参数δ的不同取值，我们展示了几个重要参数的演化轨迹，特别是statefinder层级S3(1)、S3(2)、S4(1)、S4(2)以及分数增长参数ε随红移z和物质分数能量密度Ωm的变化。结合物质扰动的增长率，我们提出了statefinder层级，它定义了一个复合零诊断（CND），能够区分动态暗能量与ΛCDM。statefinder层级和分数增长参数的联合使用为探测VHDE提供了强大的诊断工具，有效解决了模型内不同参数选择之间的简并性。我们发现，使用CND对而非单一诊断，显著增强了VHDE模型的诊断能力。最后，我们进行了ωd-ωd'分析，并评估了声速平方vs2，以确定模型在小扰动下的动态稳定性。
英文摘要
We employ the statefinder hierarchy along with the fractional growth parameter to investigate the recently proposed noninteracting Viaggiu holographic dark energy (VHDE) model with the future event horizon as the infrared cut-off. By adjusting different values of the VHDE model parameter $δ$, we illustrate the evolution trajectories of several important parameters, prticularly, the statefinder hierarchy $S_3^{(1)}$, $S_3^{(2)}$, $S_4^{(1)}$, $S_4^{(2)}$ and the fractional growth parameter $ε$ against the redshift $z$ and the fractional energy density of matter, $Ω_m$. Together with the growth rate of matter perturbations, we present the statefinder hierarchy that defines a composite null diagnostic (CND), which can differentiate dynamical dark energy from $Λ$CDM. The joint use of the statefinder hierarchy and the fractional growth parameter offers a powerful diagnostic tool for probing VHDE, effectively resolving the degeneracy between different parameter choices within the model. We find that employing a CND pair, rather than a single diagnostic, significantly enhances the diagnostic power for the VHDE model. Finally, we perform an $ω_d-ω_d'$ analysis and, in addition, assess the squared sound speed $v_{s}^{2}$ to determine the model's dynamical stability under small perturbations.
Comments14 pages, 8 figures
